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Finding the Fourth Proportional to 435,464.40, 653,196.65 and 135,970.64

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Solution

The fourth proportional to 435,464.40, 653,196.65 and 135,970.64 is: 203,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,464.40 : 653,196.65 = 135,970.64 : x
  2. Step 2: Convert to fraction form
    435,464.40/653,196.65 = 135,970.64/x
  3. Step 3: Cross multiply
    435,464.40x = 653,196.65 × 135,970.64
  4. Step 4: Simplify right side
    435,464.40x = 88,815,562,600.52
  5. Step 5: Solve for x
    x = 88,815,562,600.52/435,464.40
  6. Step 6: Final answer
    x = 203,955.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.